document.write( "Question 515110: I have a tank that is 7 ft long and 5 ft in diameter how many gallons will it hold \n" ); document.write( "
Algebra.Com's Answer #343721 by lmeeks54(111)![]() ![]() You can put this solution on YOUR website! We can compute the volume of the tank (it is a cylindrical tank) with the information given, so we'll end up with cubic ft of tank capacity. And a gallon is unit of volume liquid measurement; but we need the conversion for gallons to cubic feet to answer the question. We can look that up. \n" ); document.write( "... \n" ); document.write( "First, the area (A) of the top of the tank is given by the equation: \n" ); document.write( "... \n" ); document.write( "A = Pi * r^2 \n" ); document.write( "... \n" ); document.write( "From info given: \n" ); document.write( "r = 5 \n" ); document.write( "h = 7 \n" ); document.write( "... \n" ); document.write( "The volume (V) of the cylindrical tank is given by the equation: \n" ); document.write( "V = (Pi * r^2) * height (h) \n" ); document.write( "... \n" ); document.write( "V = 3.14159*(5^2)*7 in cu ft. \n" ); document.write( "V = 549.78 cu ft \n" ); document.write( "... \n" ); document.write( "We look up the conversion factor for cu ft to gallons: \n" ); document.write( "1 cu ft = 7.48 gal \n" ); document.write( "... \n" ); document.write( "Then multiply the volume of the tank, V, by the conversion factor for gallons: \n" ); document.write( "V = 549.78 cu ft * 7.48 gal/cu ft \n" ); document.write( "... \n" ); document.write( "cu ft cancel out and we are left with \n" ); document.write( "V = 4,112.34 gal fit in our cylindrical tank \n" ); document.write( "... \n" ); document.write( "cheers, Lee \n" ); document.write( " |